Math question: What is the sum of all prime numbers less than or equal to 8001?

The sum of all prime numbers less than or equal to 8001 is 6,831,131. To obtain this sum, we identify every prime number within the given range, including 8001 if it is a prime number (which it isn't), and add them up. The prime numbers within the range are determined by applying various methods, such as the Sieve of Eratosthenes or trial division, to ensure accuracy. By summing all these primes, we arrive at the final answer of 6,831,131.

Math question: What is the sum of the first 100 odd numbers greater than 8001?

To find the sum of the first 100 odd numbers greater than 8001, we can notice that the n-th odd number can be represented as 2n-1. In this case, the first odd number greater than 8001 is 8003 (2*1-1), and the hundredth odd number is 8201 (2*100-1). The sum can be found using the formula for the sum of an arithmetic series: S = (n/2)(first term + last term). Plugging in the values, we get S = (100/2)(8003 + 8201) = 50(16204) = 810200. Therefore, the sum of the first 100 odd numbers greater than 8001 is 810200.

Question: If 8001 is multiplied by 7 and then divided by the square root of 25, what is the resulting value?

The square root of 25 is 5. Multiplying 8001 by 7 gives us 56,007. Dividing 56,007 by 5 gives us a resulting value of 11,201.4. Thus, when 8001 is multiplied by 7 and divided by the square root of 25, the resulting value is approximately 11,201.4.

Max	9223372036854775807
25835	Positive integer
0b10001100	Binary number
01771452	Octal number
0x129abf	Hex number
5.012 * 10^7	Scientific notation
2^4 * 5	Factorized form
*	Random number

8001 (number)

8001 is an odd 4-digits composite number following 8000 and preceding 8002. In scientific notation, it is written as 8.001 × 10^3. The sum of its digits is 9. It has a total of 3 prime factors and 8 positive divisors. There are 4536 positive integers (up to 8001) that are relatively prime to 8001.

Interesting facts

8001 has 8 divisors, whose sum is 11264
The reverse of 8001 is 1008
Previous prime number is 3

Basic properties

Is Prime? no
Number parity odd
Number length 4
Sum of Digits 9
Digital Root 9

Name

Name	eight thousand one

Notation

Scientific notation	8.001 × 10^3
Engineering notation	8.001 × 10^3

Prime Factorization of 8001

Prime Factorization 21 × 3 × 127

Composite number

ω	Distinct Factors	3	Total number of distinct prime factors
Ω	Total Factors	3	Total number of prime factors
rad	Radical	8001	Product of the distinct prime numbers

The prime factorization of 8001 is 21 × 3 × 127. Since it has a total of 3 prime factors.

Most popular turbo-numbers

5, 10, 31, 53, 115, 206, 8886, 9419, 96540, 90175, 360842, 299355, 6214882, 9098298, 68968005, 33463091, 367574118, 822043422, 9230504287, 9525570784

Basic calculations (n = 8001)

Multiplication

n×y

n×2	16002
n×3	24003
n×4	32004
n×5	40005

Division

n÷y

n÷2	4000.5
n÷3	2667
n÷3	2000.25
n÷5	1600.2

Exponentiation

n^y

n²	64016001
n³	512192024001
n⁴	4098048384032001
n⁵	3.278848512064E+19

Nth Root

^y√n

²√n	89.448309095253
³√n	20.000833298614
⁴√n	9.4577116204319
⁵√n	6.0343271834114

Divisors of 8001

1, 3, 21, 63, 127, 381, 2667, 8001

8 divisors

τ	Total Divisors	8	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-8000	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.125	Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n))
G	Geometric Mean	1	Returns the nth root of the product of n divisors
H	Harmonic Mean	8	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 8001 can be divided by 8 positive divisors. The sum of these divisors (counting 8001) is 1, the average is 0.125.

Base conversion 8001

Base	System	Value
2	Binary	1111101000001
3	Ternary	101222100
4	Quaternary	1331001
5	Quinary	224001
6	Senary	101013
8	Octal	17501
10	Decimal	8001
12	Duodecimal	4769
16	Hexadecimal	1f41
20	Vigesimal	1001
36	Base36	669

Cryptographic Hash Functions

md5	bc3c4a6331a8a9950945a1aa8c95ab8a
sha1	0c7fa9633c55e421aa41f2300470e6d40676d09b
sha256	242d1f9ba9fbda48e877c20dd4de8e9a0074e98add3de4856115ab61863786c5
sha512	11c75978ce5ca4e06b5200c42709781d0179757e28bb45cead41b0fc910050524337436e47deb1d11586d027e5f0bdc6e484e8608dff2a7b13edfd2570023eb3
ripemd-160	3bf7b4c08bbd3ce873b591022c340bcc032a5c49

8001 as geometric shapes

Circle

Radius = n

Diameter	16002
Circumference	50271.765642744
Area	201112198.4538

Sphere

Radius = n

Volume	2145464933105.1
Surface area	804448793.81519
Circumference	50271.765642744

Square

Length = n

Perimeter	32004
Area	64016001
Diagonal	11315.122712547

Cube

Length = n

Surface area	384096006
Volume	512192024001
Space diagonal	13858.138511359

Equilateral Triangle

Length = n

Perimeter	24003
Area	27719741.557345
Altitude	6929.0692556793

Triangular Pyramid

Length = n

Surface area	27719741.557345
Volume	60362408906.795
Height	3771.707570849